Chapter 12.6, Problem 27E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Match the equation with its graph (labeled I-VIII). Give reasons for your choice.

*x*^{2} + 2*z*^{2} = 1

To determine

**To match**: The given surface equation with their corresponding graph shown in Figure I-VIII.

Explanation

**Given data:**

Surface equation is

**Formula used:**

Consider the standard equation of ellipsoid.

Consider the given surface equation.

Rearrange the equation.

Find *a*, *b*, and *c* by comparing equation (2) with equation (1).

So, ellipsoid points on the *x* axis is

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